WRT the OP I think that Huskys are becoming the fashionable choice, along with Doodles and Spaniels/Spaniel crosses, the latter of which seem to be the middle class mum's preferred pup atm and certainly like the other 2 mentioned I'm seeing more Sibes and Sibe Xs entering rescue. I'm also seeing that they are hard to home.
BUT the reasons for this are imho different. The SBT is often rejected because of press hysteria and word of mouth ignorance that they are dangerous and not safe with kids. Sibes tend to end up in rescue because they are too hard to handle and stay there for that reason too... and, the good rescues are VERY picky about who they will rehome such a demanding dog to. Where that rescue is a no kill one the dog is safe... where it is not, the outcome for the dog is euthanasia. SHWA, for example, will not take an aggressive Sibe and if they end up with one which they discover to be aggressive, I recently discovered, they will generally kill as they feel that they don't have the facilities to rehabilitate. Thank christ that the all breed rescue for whom I'm a volunteer has no such kill policy with any of it's dogs... but it is a rare one.
SBTs suffer the problem of being in rescue in huge numbers too... it's sort of a case of "there are so many of them there must be something wrong with them or else they'd all get homes, so I don't want one of those" theory. Thankfully the SH number hasn't reached that proportion... yet.
Two other factors are these - that the SH generally enters rescue from an owner who can't cope or who have kids later on etc, ime, and not via the pound. Thus they escape that stigma of "they're all pound strays and they have no history so they are dangerous" because the public so often aren't aware that regardless of a dog's origin a decent rescue will thoroughly assess the dog before rehoming. We don't just take the old owner's word for it as they can lie, it's not uncommon, so the surrendered dog AND the pound dog both get a thorough, ongoing assessment in reputable rescue... but you try telling the public that!
Also the SBT is by far more the hard man's dog, and of course lumped in with Pits, cos of course they are ALL "dangerous" - thank god the law on banned breeds looks likely to be changed soon, but too late for so many dead Pits and dogs which allegedly merely look like Pits and too late too for the poor Staffie, who carries the Pit's cross along with them. The Sibe's haven't yet got to that stage either.
So, although I think that they are the next fashionable dog along with Doodles and Spaniel types and although I think that they are at far greater risk of rejection by inexperienced owners, numpties and rescues which won't take them as they are so hard to home, I still feel that the SBT is much more maligned and that there are differences in how the two breeds are perceived and treated.